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Finding the Fourth Proportional to 27,693.19, 41,539.92 and 6,916.69

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Solution

The fourth proportional to 27,693.19, 41,539.92 and 6,916.69 is: 10,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.19 : 41,539.92 = 6,916.69 : x
  2. Step 2: Convert to fraction form
    27,693.19/41,539.92 = 6,916.69/x
  3. Step 3: Cross multiply
    27,693.19x = 41,539.92 × 6,916.69
  4. Step 4: Simplify right side
    27,693.19x = 287,318,749.26
  5. Step 5: Solve for x
    x = 287,318,749.26/27,693.19
  6. Step 6: Final answer
    x = 10,375.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.